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Finding the Fourth Proportional to 144,145, 216,162.42 and 69,243.80

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Solution

The fourth proportional to 144,145, 216,162.42 and 69,243.80 is: 103,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,145 : 216,162.42 = 69,243.80 : x
  2. Step 2: Convert to fraction form
    144,145/216,162.42 = 69,243.80/x
  3. Step 3: Cross multiply
    144,145x = 216,162.42 × 69,243.80
  4. Step 4: Simplify right side
    144,145x = 14,967,907,378.00
  5. Step 5: Solve for x
    x = 14,967,907,378.00/144,145
  6. Step 6: Final answer
    x = 103,839.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.